Answer:
0.78
Step-by-step explanation:
We have the next probability distribution:
X P(X)
0 0.2
1 0.3
2 0.5
As we can see when we add all the probabilites the result is 1. Now calculating the mean we have:

The standard deviation is:

Then using the data that we have:

Then the standard deviation is 0.78

We want to isolate "m" on one side of the equation and have a number on the other side. Let's start by subtracting both sides by 5m


Now, let's subtract both sides by 11


We now have the value of m.
The next thing I'm going to do is a bit tedious, but you typically want to have the variable on the left side of the equation in the field of math. It's a good habit to develop now.

Thus, the answer is choice 3, -18. Let me know if you need any clarifications, thanks!
~ Padoru
Answer: The missing length is 16/3
Step-by-step explanation:
First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.
The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.
Now apply the same proportional value to the second figure.
6 * 8/9 = 48/9
48/9 = 16/3
Clod would get 11, because the number they both thought of was 63
#16: Let's clear the fraction on the way to solving this inequality for x. By mult. the given inequality by 2, we'll get -2 (is greater than) x+4. We want x to be positive. So, leave it where it is. Subtract 4 from both sides of this inequality. We end up with -6 (is greater than) x, which is the same thing as x (is less than) -6. What would the graph of that simple inequality look like?
Graph it. (Hint: The graph is a straight dashed line, and you must shade one side of it, but not the other side.